The solid shown in the figure has cross sections bounded by the graph of |x|^a + |y|ª = 1, where 1 ≤ a ≤ 2.

(a) Describe the cross section when a = 1 and a = 2.

(b) Describe a procedure for approximating the volume of the
solid.

Transcribed Image Text:

X ||x|¹ +|y|¹ = 1 ||x|@ + |y|a = 1 y X ||x² + y² = 1